When you think about math, the first thing that comes to mind is probably numbers. Numbers are fascinating things. But when you think about it, it’s crazy to realize just how little most of us actually understand about them.
How do you define what a number actually is? What makes a number a real number? Or a real number? How many numbers are there? How many different kinds of numbers are there?
I can’t possibly tell you everything there is to know about numbers. That could fill twenty or thirty different books. But I can take you on a sort of a cruise, looking at some of the basic stuff about what numbers are and then looking at some of the weird and interesting numbers among them.